STAMP and the Calculus
John Kauffman
Posts: 653
I'm thinking through a short course for high school students that would use STAMP projects to illustrate concepts in high school math. Or, to think conversely, use math to enhance understanding of STAMP projects.
·
The basics lay out pretty well. For example:
- use a simple link attached to a servo to illustrate trig functions to calculate the link's horizontal travel from a given pulse width
- use a set of resistive values from a photoresistor to create an equation of y=mx+b
Let me know if you want to see the outline in its rough form (at this point just general ideas for topics & projects)
·
The students will have:
- WAM text and kit
- Floating point coprocessor (uM-FPU V2 Parallax part #604-00030a) or we might do this seminar without coprocessors
- I could add a component or two if they could make a good project
·
The students have done all of WAM and most have done something more with Stamps (BAaD, BoeBOT or SX/B)
The students are at different levels of high school, but for the question below the readers will have completed or be half-way through high school calculus.
·
At this point I am looking for examples in two areas:
Calculus - a project illustrating differentiation
Calculus - a project illustrating integration
·
Has anyone used calculus in a project or has an idea for a simple project that could be used to demonstrate differentiation and integration with the STAMP? Even rough ideas would be fine, I can probably chew them into something usable.
·
Thanks.
·
·
·
·
The basics lay out pretty well. For example:
- use a simple link attached to a servo to illustrate trig functions to calculate the link's horizontal travel from a given pulse width
- use a set of resistive values from a photoresistor to create an equation of y=mx+b
Let me know if you want to see the outline in its rough form (at this point just general ideas for topics & projects)
·
The students will have:
- WAM text and kit
- Floating point coprocessor (uM-FPU V2 Parallax part #604-00030a) or we might do this seminar without coprocessors
- I could add a component or two if they could make a good project
·
The students have done all of WAM and most have done something more with Stamps (BAaD, BoeBOT or SX/B)
The students are at different levels of high school, but for the question below the readers will have completed or be half-way through high school calculus.
·
At this point I am looking for examples in two areas:
Calculus - a project illustrating differentiation
Calculus - a project illustrating integration
·
Has anyone used calculus in a project or has an idea for a simple project that could be used to demonstrate differentiation and integration with the STAMP? Even rough ideas would be fine, I can probably chew them into something usable.
·
Thanks.
·
·
·
Comments
Using a loop routine, differential measures are demonstrated by taking change in temperature between loops.
Integral measures are demonstrated by summing temperature errors over a series of loops.
The concepts are displayed using StampPlot lite.
Look at it here: The manual is a free download.
http://www.parallax.com/detail.asp?product_id=28156
I recommend you to visit this link:
http://www.emesys.com/BS2index.htm#math
Maybe it doesn't have exactly what you're looking for but it has a lot of Math resources generated by Tracy Allen.
Regards,
▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔
Aristides Alvarez
Education and Technical Support Manager
aalvarez@parallax.com
Parallax, Inc. www.parallax.com
Larry
http://forums.parallax.com/showthread.php?p=529609
▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔▔
Tracy Allen
www.emesystems.com
Oh, and you CAN have integrators and derivators made out of op-amps and capacitors, as Tracy said above, and monitor their outputs with the BS2.